I am on the verge of an A in math, its finals week, and doing these extra credits will help me immensely. There are 10 problems, I figured out 7 of them, and I cant get these for the life of me. Trig is my weak point, and I really just dont understand the last one at all. I would love some help
1) Verify the identity analytically
(SinX/cosXtanX)+[(cotX-tanX)/(cotX+tanX)]= 1 + cos2X
2) Solve analytically on the interval [2pi, 4pi)
Sin2x Cot2x = sin2x
4) An aircraft carrier is traveling on a steady course with a bearing of 30 degrees at 32 mph. Planes on the carrier have enough fuel for 2.6 hours of flight when traveling at a speed of 520 mph. One of the planes takes off at a bearing of 338 degrees, and then turns and heads in a straight line, so as to be able to catch the carrier and land at the exact instant that its fuel runs out. If the pilot left at 2:00pm, at what time did he turn to head to the carrier?